Success in mathematics is not how many answers you know, but what you do when you don't know the answer.
Houghton Mifflin Harcourt - Math Expressions Grade 6
Unit 1: Rates, Ratios, and Proportions - 14 lessons
Unit 2: Area of Polygons - 9 lessons
Unit 3: Operations with Whole Numbers, Fractions, and Decimals - 17 lessons
Unit 4: Surface Area of Prisms and Pyramids - 5 lessons
Unit 5: Expressions and Equations - 17 lessons
Unit 6: Volume for Rectangular Prisms - 5 lessons
Unit 7: Ratios and Rates with Fractions, Decimals, and Percents - 13 lessons
Unit 8: Analyzing Statistics - 11 lessons
Unit 9: Rational Numbers and the Coordinate Plane - 7 lessons
Unit 5: Expression and Equations
Order of Operations: Very Important!!!! 1st: Parenthesis ( ) 2nd: Exponents or Powers: 4 to the third power is 4 x 4 x 4 NOT 4 x 3 3rd: Multiply OR Divide left to right which one comes 1st. 4th: Add OR Subtract left to right which one comes 1st.
Unit 2: Area of Polygon - formulas - 2-D shapes
Area of Square and Rectangle: length x width
Area of Triangle: base x height divided by 2
Area of Parallelogram: length x width
Area of Trapezoid: base + base x height divided by 2
Area of Regular Polygons - pentagon, hexagon, octagon, etc: base x height divided by 2 x number of sides
Unit 4: Surface Area - formulas - 3-D shapes
Prisms
Square Prism:
Base is a square = length x width x 2:
Faces are rectangles = length x height x 4;
Add base and faces together
Rectangular Prism: Base is a rectangle and faces are rectangles.
length x width x 2
length x height x 2
width x height x 2
Add all 3 answers together
For the next 2 prisms: Normally when you find area of triangle you do Base x Height divide by 2. However, with the next two prisms, you don't have to follow that formula, because you have 2 bases. It is not necessary to divide by 2 then x by 2, they cross each other out.
Triangular Prism: Base is a triangle = base x height
Faces are rectangles and there are 3 = length x width(base) x 3.
Add base and faces together.
Pentagonal, Hexagonal, and Octagonal Prisms: Bases are Pentagon(5), Hexagon(6) and Octagon(8): There are 2 bases.
Base = base x height x the number of sides
Faces are rectangles = length x width x number of sides
Add base and faces together
Pyramids
Shapes that have 1 base and sides are triangles that form a point. Names are given according to base shape.
Square Pyramid: square base and 4 triangular faces
Base = length x width
Faces = base x height x 4 divided by 2 OR base x height divided by 2 x 4
Add base and faces together
Rectangular Pyramid: rectangular base and 4 triangular faces with 2 different measurements.
Base = length x width
2 Faces = base x height divided by 2 x 2 OR base x height
2 Faces = base x height divided by 2 x 2 OR base x heigth
Add base and faces together
Triangular Pyramid: triangular base and 3 triangular faces
Base = base x height divided by 2
Faces = base x height divided by 2 x 3
Pentagonal, Hexagonal, and Octagonal Pyramids:
Pentagonal: base is a pentagon with 5 triangular faces
Hexagonal: base is a hexagon with 6 triangular faces
Octagonal: base is octagon with 8 triangular faces
If all = Base = base x height divided by 2 x # of sides
Faces = base x height divided by 2 x # of sides
Add base and faces together
Mathematics:
Success in mathematics is not how many answers you know, but what you do when you don't know the answer.
Houghton Mifflin Harcourt - Math Expressions Grade 6
Unit 1: Rates, Ratios, and Proportions - 14 lessons
Unit 2: Area of Polygons - 9 lessons
Unit 3: Operations with Whole Numbers, Fractions, and Decimals - 17 lessons
Unit 4: Surface Area of Prisms and Pyramids - 5 lessons
Unit 5: Expressions and Equations - 17 lessons
Unit 6: Volume for Rectangular Prisms - 5 lessons
Unit 7: Ratios and Rates with Fractions, Decimals, and Percents - 13 lessons
Unit 8: Analyzing Statistics - 11 lessons
Unit 9: Rational Numbers and the Coordinate Plane - 7 lessons
Unit 5: Expression and Equations
Order of Operations: Very Important!!!!1st: Parenthesis ( )
2nd: Exponents or Powers: 4 to the third power is 4 x 4 x 4 NOT 4 x 3
3rd: Multiply OR Divide left to right which one comes 1st.
4th: Add OR Subtract left to right which one comes 1st.
Unit 2: Area of Polygon - formulas - 2-D shapes
Area of Square and Rectangle: length x widthArea of Triangle: base x height divided by 2
Area of Parallelogram: length x width
Area of Trapezoid: base + base x height divided by 2
Area of Regular Polygons - pentagon, hexagon, octagon, etc: base x height divided by 2 x number of sides
Unit 4: Surface Area - formulas - 3-D shapes
Prisms
Square Prism:Base is a square = length x width x 2:
Faces are rectangles = length x height x 4;
Add base and faces together
Rectangular Prism: Base is a rectangle and faces are rectangles.
length x width x 2
length x height x 2
width x height x 2
Add all 3 answers together
Triangular Prism: Base is a triangle = base x height
Faces are rectangles and there are 3 = length x width(base) x 3.
Add base and faces together.
Pentagonal, Hexagonal, and Octagonal Prisms: Bases are Pentagon(5), Hexagon(6) and Octagon(8): There are 2 bases.
Base = base x height x the number of sides
Faces are rectangles = length x width x number of sides
Add base and faces together
Pyramids
Shapes that have 1 base and sides are triangles that form a point. Names are given according to base shape.Square Pyramid: square base and 4 triangular faces
Base = length x width
Faces = base x height x 4 divided by 2 OR base x height divided by 2 x 4
Add base and faces together
Rectangular Pyramid: rectangular base and 4 triangular faces with 2 different measurements.
Base = length x width
2 Faces = base x height divided by 2 x 2 OR base x height
2 Faces = base x height divided by 2 x 2 OR base x heigth
Add base and faces together
Triangular Pyramid: triangular base and 3 triangular faces
Base = base x height divided by 2
Faces = base x height divided by 2 x 3
Pentagonal, Hexagonal, and Octagonal Pyramids:
Pentagonal: base is a pentagon with 5 triangular faces
Hexagonal: base is a hexagon with 6 triangular faces
Octagonal: base is octagon with 8 triangular faces
If all = Base = base x height divided by 2 x # of sides
Faces = base x height divided by 2 x # of sides
Add base and faces together
Connect to math websites: School Link